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Finding the Fourth Proportional to 420,162.82, 579,824.69 and 229,176.20

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Solution

The fourth proportional to 420,162.82, 579,824.69 and 229,176.20 is: 316,263.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,162.82 : 579,824.69 = 229,176.20 : x
  2. Step 2: Convert to fraction form
    420,162.82/579,824.69 = 229,176.20/x
  3. Step 3: Cross multiply
    420,162.82x = 579,824.69 × 229,176.20
  4. Step 4: Simplify right side
    420,162.82x = 132,882,019,424.06
  5. Step 5: Solve for x
    x = 132,882,019,424.06/420,162.82
  6. Step 6: Final answer
    x = 316,263.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.